DLMF:22.6.E15 (Q6949): Difference between revisions

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Created a new Item: Wikidata Toolkit example test item creation
 
Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: Jacobian elliptic function / rank
 
Normal rank
Property / Symbols used: Jacobian elliptic function / qualifier
 
Defining formula:

cs ( z , k ) Jacobi-elliptic-cs 𝑧 𝑘 {\displaystyle{\displaystyle\operatorname{cs}\left(\NVar{z},\NVar{k}\right)}}

\Jacobiellcsk@{\NVar{z}}{\NVar{k}}
Property / Symbols used: Jacobian elliptic function / qualifier
 
xml-id: C22.S2.E9.m3abdec

Revision as of 14:59, 2 January 2020

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DLMF:22.6.E15
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    Statements

    ds ( 2 z , k ) = k 2 k 2 + ds 4 ( z , k ) 2 cs ( z , k ) ds ( z , k ) ns ( z , k ) , Jacobi-elliptic-ds 2 𝑧 𝑘 superscript 𝑘 2 superscript superscript 𝑘 2 Jacobi-elliptic-ds 4 𝑧 𝑘 2 Jacobi-elliptic-cs 𝑧 𝑘 Jacobi-elliptic-ds 𝑧 𝑘 Jacobi-elliptic-ns 𝑧 𝑘 {\displaystyle{\displaystyle\operatorname{ds}\left(2z,k\right)=\frac{k^{2}{k^{% \prime}}^{2}+{\operatorname{ds}^{4}}\left(z,k\right)}{2\operatorname{cs}\left(% z,k\right)\operatorname{ds}\left(z,k\right)\operatorname{ns}\left(z,k\right)},}}
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    DLMF:22.6.E15
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    cs ( z , k ) Jacobi-elliptic-cs 𝑧 𝑘 {\displaystyle{\displaystyle\operatorname{cs}\left(\NVar{z},\NVar{k}\right)}}
    C22.S2.E9.m3abdec
    0 references